What is the Greatest Common Factor of 15599 and 15618?

Greatest common factor (GCF) of 15599 and 15618 is 19.

GCF(15599,15618) = 19

We will now calculate the prime factors of 15599 and 15618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15599 and 15618.

How to find the GCF of 15599 and 15618?

We will first find the prime factorization of 15599 and 15618. After we will calculate the factors of 15599 and 15618 and find the biggest common factor number .

Step-1: Prime Factorization of 15599

Prime factors of 15599 are 19, 821. Prime factorization of 15599 in exponential form is:

15599 = 19¹ × 821¹

Step-2: Prime Factorization of 15618

Prime factors of 15618 are 2, 3, 19, 137. Prime factorization of 15618 in exponential form is:

15618 = 2¹ × 3¹ × 19¹ × 137¹

Step-3: Factors of 15599

List of positive integer factors of 15599 that divides 15599 without a remainder.

1, 19, 821

Step-4: Factors of 15618

List of positive integer factors of 15618 that divides 15599 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 137, 274, 411, 822, 2603, 5206, 7809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15599 and 15618. The biggest common factor number is the GCF number.
So the greatest common factor 15599 and 15618 is 19.

Also check out the Least Common Multiple of 15599 and 15618